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Finding the Third Proportional to 305,378 and 655,900

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Solution

The third proportional to 305,378 and 655,900 is: 1,408,761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,378 : 655,900 = 655,900 : x
  2. Step 2: Convert to fraction form
    305,378/655,900 = 655,900/x
  3. Step 3: Cross multiply
    305,378x = 655,900 × 655,900
  4. Step 4: Simplify right side
    305,378x = 430,204,810,000
  5. Step 5: Solve for x
    x = 430,204,810,000/305,378
  6. Step 6: Final answer
    x = 1,408,761.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.